Answer:
a4 = 189
Explanation:
Geometric sequence:
In a geometric sequence, the quotient r between consecutive terms is always the same.
The nth term of the sequence is given by:
![a_n = a_1*r^(n-1)](https://img.qammunity.org/2022/formulas/mathematics/college/mbtupbiaqhaoqsj2yr8sy9p4je25ycm2aa.png)
In which
is the first term.
In this question:
![a_1 = 7, r = 3](https://img.qammunity.org/2022/formulas/mathematics/college/sx15wivlmqurpj7ml7ogrts3bpfvf7d2vw.png)
The fourth term is:
![a_4 = 7*3^3 = 189](https://img.qammunity.org/2022/formulas/mathematics/college/hkb41focmnfysso4aa8j6hb8s5s1a934ja.png)
So
a4 = 189